213001300 has 18 divisors (see below), whose sum is σ = 462213038. Its totient is φ = 85200480.

The previous prime is 213001289. The next prime is 213001303. The reversal of 213001300 is 3100312.

It can be written as a sum of positive squares in 3 ways, for example, as 27060804 + 185940496 = 5202^2 + 13636^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213001303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1064907 + ... + 1065106.

Almost surely, 2^213001300 is an apocalyptic number.

213001300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213001300 is an abundant number, since it is smaller than the sum of its proper divisors (249211738).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213001300 is a wasteful number, since it uses less digits than its factorization.

213001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130027 (or 2130020 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 213001300 is about 14594.5640565246. The cubic root of 213001300 is about 597.2104769599.

Adding to 213001300 its reverse (3100312), we get a palindrome (216101612).

The spelling of 213001300 in words is "two hundred thirteen million, one thousand, three hundred".